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Finding the Fourth Proportional to 226.50, 312.08 and 152.69

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Solution

The fourth proportional to 226.50, 312.08 and 152.69 is: 210.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.50 : 312.08 = 152.69 : x
  2. Step 2: Convert to fraction form
    226.50/312.08 = 152.69/x
  3. Step 3: Cross multiply
    226.50x = 312.08 × 152.69
  4. Step 4: Simplify right side
    226.50x = 47,650.32
  5. Step 5: Solve for x
    x = 47,650.32/226.50
  6. Step 6: Final answer
    x = 210.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.